Eriksen suffered a cardiac arrest during Denmark’s Euro 2020 group stage match with Finland last Saturday, which is expected to bring an early end to his footballing career.
The 29-year-old is still recovering in hospital and will be fitted with a heart-starter.
Kane shared the pitch with Eriksen for seven seasons at Spurs, developing a close relationship in the process.
The pair have not been in direct contact since the recent incident, though the prolific England forward revealed that his wife had spoken to the partner of Eriksen.
“It’s been difficult. Obviously to watch it and see it happen was really hard. Thankfully Christian is alive and seems to be doing well,” said Kane in an England press conference.
“I’ve not had any contact with him personally but my wife has spoken to his wife. From what I understand, everything is going in a good way.”
He added: “Christian is in all of our hearts, as well as the whole football family.
“It’s a reminder of how quickly things can change in life and never to take things for granted. I hope to see him soon personally. Hopefully after the tournament we get to do that.”
Denmark and Belgium’s match on Thursday afternoon featured both sets of players and fans uniting as one for the Inter Milan midfielder.
There was a rendition of ‘You’ll Never Walk Alone’ prior to kick-off, meanwhile play was stopped during the tenth minute of the match by referee Bjorn Kuipers – in recognition of Eriksen’s shirt number for his national side.
Current Inter teammate Romelu Lukaku and Spurs forward Heung-Min Son are two players that have dedicated goals to Eriksen in recent matches.
Both Lukaku and Son sprinted to the nearest camera on the pitch before sharing personal messages for the Danish star.
Kane was quizzed on whether or not he would follow suit should he score against Scotland this afternoon, to which he responded:
“I’ll have to score a goal first before I can think of anything like that.
“We’ll see what happens. Like I say, Christian is a good friend.
“The most important thing is he knows we’re all thinking of him and obviously that he is getting better day by day.”